On Conharmonic Curvature Tensor in $K$-contact and Sasakian Manifolds
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 1
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Some necessary and/or sufficient condition(s) for $K$-contact and/or Sasakian manifolds to be quasi conharmonically flat, $\xi $-conharmonically flat and $\varphi $-conharmonically flat are obtained. In last, it is proved that a compact $\varphi $-conharmonically flat $K$-contact manifold with regular contact vector field is a principal $S^{1}$-bundle over an almost Kaehler space of constant holomorphic sectional curvature $\left( 3-\frac{2}{2n-1}\right)$.
Classification :
53C25, 53D10, 53D15.
@article{BMMS_2011_34_1_a15,
author = {Mohit Kumar Dwivedi and Jeong-Sik Kim},
title = {On {Conharmonic} {Curvature} {Tensor} in {\(K\)-contact} and {Sasakian} {Manifolds}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2011},
volume = {34},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a15/}
}
Mohit Kumar Dwivedi; Jeong-Sik Kim. On Conharmonic Curvature Tensor in \(K\)-contact and Sasakian Manifolds. Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a15/